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Finding the Fourth Proportional to 119,720, 179,580.90 and 53,142.24

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Solution

The fourth proportional to 119,720, 179,580.90 and 53,142.24 is: 79,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,720 : 179,580.90 = 53,142.24 : x
  2. Step 2: Convert to fraction form
    119,720/179,580.90 = 53,142.24/x
  3. Step 3: Cross multiply
    119,720x = 179,580.90 × 53,142.24
  4. Step 4: Simplify right side
    119,720x = 9,543,331,287.22
  5. Step 5: Solve for x
    x = 9,543,331,287.22/119,720
  6. Step 6: Final answer
    x = 79,713.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.